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Wave interaction with a submerged semicircular porous breakwater placed on a porous seabed

机译:波浪与置于多孔海床上的水下半圆形多孔防波堤的相互作用

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In the present study, a coupled eigenfunction expansion-boundary element method is developed and used to analyze the interaction of surface gravity waves with a submerged semicircular porous breakwater placed on a porous seabed in water of finite depth. Two separate cases: (a) wave scattering by the semicircular breakwater, and (b) wave trapping by the semicircular breakwater placed near a porous sloping seawall are studied. Further, as a special case, wave trapping by a semicircular breakwater placed on a rubble mound foundation near a sloping seawall is analyzed in water of uniform depth having an impermeable bed. The wave motion through the semicircular permeable arc of the breakwater is modeled using the Darcy's law of fine pore theory, whilst the wave motion through the porous seabed, rubble mound foundation and the porous seawall are modeled using the Sollitt and Cross model. The friction coefficient defined in Sollitt and Cross model is computed by approximating the spatial dependency of the seepage velocity with the average velocity within the porous media. An algorithm for determining the friction coefficient/is provided. Various physical quantities of interests are plotted and analyzed for various values of waves and structural parameters.
机译:在本研究中,发展了一种耦合的本征函数扩展边界元方法,并用于分析表面重力波与有限深度水中的水下半圆形多孔防波堤之间的相互作用。研究了两种不同的情况:(a)半圆形防波堤的波散射,以及(b)半圆形防波堤在多孔倾斜海堤附近放置的波捕获。此外,在特殊情况下,在具有不可渗透床层的均匀深度的水中,分析了放置在靠近倾斜海堤的瓦砾丘陵基础上的半圆形防波堤的波浪捕获。防波堤的半圆形渗透弧中的波浪运动是用达西微孔定律理论建模的,而通过多孔海底,瓦砾土墩基础和多孔海堤的波浪运动则是采用Sollitt和Cross模型进行建模的。 Sollitt and Cross模型中定义的摩擦系数是通过将渗流速度的空间依赖性与多孔介质内的平均速度近似来计算的。提供了一种用于确定摩擦系数的算法。绘制各种感兴趣的物理量,并分析各种波动值和结构参数。

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